5y^2-210=-61y

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Solution for 5y^2-210=-61y equation:


Simplifying
5y2 + -210 = -61y

Reorder the terms:
-210 + 5y2 = -61y

Solving
-210 + 5y2 = -61y

Solving for variable 'y'.

Reorder the terms:
-210 + 61y + 5y2 = -61y + 61y

Combine like terms: -61y + 61y = 0
-210 + 61y + 5y2 = 0

Factor a trinomial.
(-15 + -1y)(14 + -5y) = 0

Subproblem 1

Set the factor '(-15 + -1y)' equal to zero and attempt to solve: Simplifying -15 + -1y = 0 Solving -15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 0 + 15 -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15

Subproblem 2

Set the factor '(14 + -5y)' equal to zero and attempt to solve: Simplifying 14 + -5y = 0 Solving 14 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5y = 0 + -14 -5y = 0 + -14 Combine like terms: 0 + -14 = -14 -5y = -14 Divide each side by '-5'. y = 2.8 Simplifying y = 2.8

Solution

y = {-15, 2.8}

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